Question

Point B is in the interior of ∠AOC, m∠AOC = 108°, m∠AOB = 3m∠BOC. Find m∠AOB.

Answer 1

If point is the interior of <AOC ,
 then m<AOB + m<BOC = m< AOC    (  angle addition postulate )         eq 1
          (3m<BOC )  +   m <BOC  = m <AOC   {   m<AOB =  3m<BOC)
              4m <BOC  =    108  
                   m<BOC  =    27 

      m<AOB + m <BOC =  m < AOC 
       m<AOB  =   108 - 27 
        m <AOB  =    81 

Answer 2

Answer:

The measure of point B is 36 degrees

Step-by-step explanation:

Since point B is in the interior of the angle AOC, we take the measure of AOC and divide it by 3. You should get 36.

Formula: 3x=108

                x=36